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Finding the Fourth Proportional to 54,431.76, 81,679.14 and 22,839

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Solution

The fourth proportional to 54,431.76, 81,679.14 and 22,839 is: 34,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,431.76 : 81,679.14 = 22,839 : x
  2. Step 2: Convert to fraction form
    54,431.76/81,679.14 = 22,839/x
  3. Step 3: Cross multiply
    54,431.76x = 81,679.14 × 22,839
  4. Step 4: Simplify right side
    54,431.76x = 1,865,469,878.46
  5. Step 5: Solve for x
    x = 1,865,469,878.46/54,431.76
  6. Step 6: Final answer
    x = 34,271.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.